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SUSY Statistical Mechanics and Random Band Matrices

Part of the Lecture Notes in Mathematics book series (LNMCIME,volume 2051)

Abstract

Ordinary matter is composed of electrons (negatively charged) and nuclei (positively charged) interacting via electromagnetic forces.

Keywords

  • Sigma Model
  • Ward Identity
  • Random Environment
  • Grassmann Variable
  • Quantum Diffusion

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Fig. 4.1

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Acknowledgements

I wish to thank my collaborators Margherita Disertori and Martin Zirnbauer for making this review on supersymmetry possible. Thanks also to Margherita Disertori and Sasha Sodin for numerous helpful comments and corrections on early versions of this review and to Yves Capdeboscq for improving the lower bound in (4.88). I am most grateful to the organizers of the C.I.M.E. summer school, Alessandro Giuliani, Vieri Mastropietro, and Jacob Yngvason for inviting me to give these lectures and for creating a stimulating mathematical environment. Finally, I thank Abdelmalek Abdesselam for many helpful questions during the course of these lectures.

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Spencer, T. (2012). SUSY Statistical Mechanics and Random Band Matrices. In: Quantum Many Body Systems. Lecture Notes in Mathematics(), vol 2051. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-29511-9_4

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